By extending the works of Arias et al. and Balazs we present a natural sufficient condition via frames for the membership of the Schatten p-class operators for 1 <= p <= 2, and show that such a condition is not sufficient to guarantee the membership of the Schatten-class operators for p > 2.
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Politecn Milan, Dipartimento Matemat, Via E Bonardi 9, I-20133 Milan, ItalyPolitecn Milan, Dipartimento Matemat, Via E Bonardi 9, I-20133 Milan, Italy
Colombo, Fabrizio
Gantner, Jonathan
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Politecn Milan, Dipartimento Matemat, Via E Bonardi 9, I-20133 Milan, ItalyPolitecn Milan, Dipartimento Matemat, Via E Bonardi 9, I-20133 Milan, Italy
机构:
Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Wang, Xiaofeng
Xia, Jin
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Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Xia, Jin
Liu, Youqi
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Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China